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Escuela intermedia Grado 6 Grado 7 Grado 8

Grado 8 Unidad 1 Unidad 2 Unidad 3 Unidad 4 Unidad 5 Unidad 6 Unidad 7 Unidad 8 Unidad 9

8.5 Funciones y volumen

Lecciones Metas de aprendizaje

Lecciones

Entradas y salidas

1Entradas y salidas
2Introducción a funciones

Representemos e interpretemos funciones

3Ecuaciones para funciones
4Tablas, ecuaciones y gráficas de funciones
5Más gráficas de funciones
6Aun más gráficas de funciones
7Conectemos representaciones de funciones

Funciones lineales y tasas de cambio

8Funciones lineales
9Modelos lineales
10Funciones lineales a trozos

Cilindros y conos

11Llenar recipientes
12¿Cuánto cabe?
13El volumen de un cilindro
14Determinemos las dimensiones del cilindro
15El volumen de un cono
16Hallemos las dimensiones del cono

Dimensiones y esferas

17Cambiar la escala de una dimensión
18Cambiar la escala de dos dimensiones
19Estimemos el volumen de un hemisferio
20El volumen de una esfera
21Cilindros, conos y esferas

Pongamos las cosas en práctica

22El volumen como una función de...

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IM 6–8 Math was originally developed by Open Up Resources and authored by Illustrative Mathematics®, and is copyright 2017-2019 by Open Up Resources. It is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0). OUR's 6–8 Math Curriculum is available at https://openupresources.org/math-curriculum/.

Adaptations and updates to IM 6–8 Math are copyright 2019 by Illustrative Mathematics, and are licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

Adaptations to add additional English language learner supports are copyright 2019 by Open Up Resources, and are licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

Spanish translation of the original text is copyright 2019 by Open Up Resources, and are licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0). Download for free at openupresources.org.

Spanish translation of the English-language adapations and updates are copyright 2019 by Illustrative Mathematics, and is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

Spanish translation of the images is copyright 2019 by Illustrative Mathematics, and is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

The Illustrative Mathematics name and logo are not subject to the Creative Commons license and may not be used without the prior and express written consent of Illustrative Mathematics.

This book includes public domain images or openly licensed images that are copyrighted by their respective owners. Openly licensed images remain under the terms of their respective licenses. See the image attribution section for more information.